Least Common Multiple (LCM) of 26 and 62
The least common multiple (LCM) of 26 and 62 is 806.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 26 and 62?
First, calculate the GCD of 26 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 62 = 0 remainder 26 |
| 2 | 62 ÷ 26 = 2 remainder 10 |
| 3 | 26 ÷ 10 = 2 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 18 | 306 |
| 133 and 33 | 4389 |
| 76 and 138 | 5244 |
| 175 and 68 | 11900 |
| 143 and 31 | 4433 |